9991632 has 80 divisors (see below), whose sum is σ = 29855232. Its totient is φ = 2820480.

The previous prime is 9991603. The next prime is 9991649. The reversal of 9991632 is 2361999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43903 + ... + 44129.

Almost surely, 2^9991632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14927616).

9991632 is an abundant number, since it is smaller than the sum of its proper divisors (19863600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9991632 is a wasteful number, since it uses less digits than its factorization.

9991632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 26244, while the sum is 39.

The square root of 9991632 is about 3160.9542862876. The cubic root of 9991632 is about 215.3833578681.

The spelling of 9991632 in words is "nine million, nine hundred ninety-one thousand, six hundred thirty-two".